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1. Qh6
1…Qd4 2. Nxd4+-
1…f6 2. Qxg6+ Kh8 [2…Kf8 3, Qg8#] 3. Qxe8+ Kh7 4.Rh5#
1…Qf6 2. Rh5 exd3 [2…gxh5 3. Qxf6] 3. Qh7+ Kf8 4. Qh8+ Qxh8 5. Rxh8#
(a) 1.Qh6 ( threatening checkmate with 2.Qg7# ) 1. …Qf6 2.Rh5
(a1) 2. …Rc5 3.Qh7+ Kf8 4.Qh8+ Qxh8 5.Rxh8#
(a2) 2. …Re5 3.Qh7+ Kf8 4.Qh8+ Qxh8 5.Rxh8#
(a3) 2. …gxh5 3.Qxf6 Re6 4.Qg7#
(a4) 2. …gxf5 3.Qxf6 Re6 4.Rh8# or 4.Qh8#
(a5) 2. …Qxf5 3.Qh8#
(b) 1.Qh6 f6 2.Qxg6+ Kh8 ( 2. …Kf8 3.Qg8# or 2. …Rg7 3.Qxg7# ) 3.Rh5+ Rh7 4.Rxh7# or Qxh7#
P.S. (c) 1.Qh6 Qd4 2.Nxd4 exd3 3.Nf5 ±
1. Qh6 f6 (prevents Qg7#) 2. Qxg6+ Rg7 3. Qxg7#
1. Qh6 f6 2. Qxg6+ Kh8 3. Rh5+ Rh7 4. Qg7#
1. Qh6 f6 2. Qxg6+ Kf8 3. Qg8#
1.- Qh6! Qf6 2.- Rh5! [–> 3.- Qh7+ 4.- Qh8#] +-
1. Qh6 Qf6 2. Rg4 Qh8 3. Qg5 Qe5 4. Nh6+ Kg7 5. Rxf7+ Rxf7 6. Qxg6+ Kh8 7. Nxf7#
also
1. Nh6+ Kh8 2. Nxf7++ Kg8 3. Qh8#
1. Nh6+ Kf8 2. Rxg6 Re6 3. Rg8+ Ke7 4. Rxf7+ Kd6 5. Rd8+ Kc6 6. Qd5#
1. Nh6+ Kg7 2. Nf5+ Kg8 3. Qh6 transposes
Well done
Very good
Well done
Very good